What is the Greatest Common Factor of 83552 and 83568?

Greatest common factor (GCF) of 83552 and 83568 is 16.

GCF(83552,83568) = 16

We will now calculate the prime factors of 83552 and 83568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83552 and 83568.

How to find the GCF of 83552 and 83568?

We will first find the prime factorization of 83552 and 83568. After we will calculate the factors of 83552 and 83568 and find the biggest common factor number .

Step-1: Prime Factorization of 83552

Prime factors of 83552 are 2, 7, 373. Prime factorization of 83552 in exponential form is:

83552 = 2⁵ × 7¹ × 373¹

Step-2: Prime Factorization of 83568

Prime factors of 83568 are 2, 3, 1741. Prime factorization of 83568 in exponential form is:

83568 = 2⁴ × 3¹ × 1741¹

Step-3: Factors of 83552

List of positive integer factors of 83552 that divides 83552 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 373, 746, 1492, 2611, 2984, 5222, 5968, 10444, 11936, 20888, 41776

Step-4: Factors of 83568

List of positive integer factors of 83568 that divides 83552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1741, 3482, 5223, 6964, 10446, 13928, 20892, 27856, 41784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83552 and 83568. The biggest common factor number is the GCF number.
So the greatest common factor 83552 and 83568 is 16.

Also check out the Least Common Multiple of 83552 and 83568